Airfoil for a third stage nozzle guide vane

ABSTRACT

The present invention provides an airfoil for a third stage nozzle guide vane having an external surface with first and second sides. The external surface extends spanwise between a hub and a tip and streamwise between a leading edge and a trailing edge of the airfoil. The external surface includes a contour substantially defined by Table 1 as listed in the specification.

RELATED APPLICATIONS

The present application claims the benefit of U.S. patent application Ser. No. 60/755,673 filed Dec. 29, 2005, which is incorporated herein by reference.

FIELD OF THE INVENTION

The present invention relates to improved airfoil geometry, and more particularly to a high efficiency airfoil for a turbine nozzle guide vane in a gas turbine engine.

BACKGROUND

Gas turbine engine designers continuously work to improve engine efficiency, to reduce operating costs of the engine, and to reduce specific exhaust gas emissions such as NOx, CO2, CO, unburnt hydrocarbons, and particulate matter. The specific fuel consumption (SFC) of an engine is inversely proportional to the overall thermal efficiency of the engine, thus, as the SFC decreases the fuel efficiency of the engine increases. Furthermore, specific exhaust gas emissions typically decrease as the engine becomes more efficient. The thermal efficiency of the engine is a function of component efficiencies, cycle pressure ratio and turbine inlet temperature. The present invention contemplates increased thermal efficiency for a gas turbine engine by improving turbine efficiency through a new aerodynamic design of an airfoil for a third stage turbine nozzle guide vane.

SUMMARY

The present invention provides an airfoil with an external surface having first and second sides, the external surface extends spanwise between a hub and a tip and streamwise between a leading edge and a trailing edge. The external surface has a contour substantially defined by Table 1 as listed in the specification.

In another aspect of the present invention, a turbine nozzle guide vane assembly for a gas turbine engine can include an inner shroud having an upper surface and a lower surface, the upper surface of the inner shroud partially defining an inner flow path wall. An airfoil can extend radially outward from the upper surface of the inner shroud relative to an axis of rotation of the gas turbine engine. The airfoil includes first and second three-dimensional external surfaces that extend between a hub and a tip in a spanwise direction and between a leading edge and a trailing edge in a streamwise direction. A Cartesian coordinate array having X, Y and Z axis coordinates listed in Table 1 of the specification defines the first and second external surfaces of the airfoil.

Another aspect of the present invention provides for a method of forming an airfoil for a turbine nozzle guide vane. The method includes forming a contoured three-dimensional external surface of an airfoil defined by Cartesian (X, Y and Z) coordinates listed in the specification as Table 1, wherein the Z axis coordinates are generally measured in a radial direction from a longitudinal axis, the X axis coordinates are generally measured normal to the Z axis in a streamwise direction, and the Y axis coordinates are generally measured normal to the Z axis and normal to the X axis.

Another aspect of the present invention provides for a method of forming an airfoil for a turbine nozzle guide vane. The method includes forming a contoured three-dimensional external surface of an airfoil defined by Cartesian (X, Y and Z) coordinates listed in the specification as Table 1, wherein the Z axis coordinates are generally measured from an engine centerline axis, the X axis coordinates are generally measured normal to the Z axis in a streamwise direction, and the Y axis coordinates are generally measured normal to the Z axis and normal to the X axis.

BRIEF DESCRIPTION OF THE DRAWINGS

The description herein makes reference to the accompanying drawings wherein like reference numerals refer to like parts throughout the several views, and wherein:

FIG. 1 is a schematic representation of a gas turbine engine;

FIG. 2 is a cross-sectional view of a turbine module for the gas turbine engine of FIG. 1;

FIG. 3 is a perspective view of a third stage turbine nozzle guide vane segment illustrated in FIG. 2;

FIG. 4 is a front view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3;

FIG. 5 is a back view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3;

FIG. 6 is a right view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3;

FIG. 7 is a left view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3;

FIG. 8 is a top view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3; and

FIG. 9 is a bottom view of the third stage turbine nozzle guide vane segment illustrated in FIG. 3.

DETAILED DESCRIPTION

For purposes of promoting an understanding of the principles of the invention, reference will now be made to the embodiments illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended, such alterations and further modifications in the illustrated device, and such further applications of the principles of the invention as illustrated therein being contemplated as would normally occur to one skilled in the art to which the invention relates.

Referring to FIG. 1, a schematic view of a gas turbine engine 10 is depicted. While the gas turbine engine 10 is illustrated with one spool (i.e. one shaft connecting a turbine and a compressor), it should be understood that the present invention is not limited to any particular engine design or configuration and as such may be used in multi spool engines of the aero or power generation type. The gas turbine engine 10 will be described generally, however significant details regarding general gas turbine engines will not be presented herein as it is believed that the theory of operation and general parameters of gas turbine engines are well known to those of ordinary skill in the art.

The gas turbine engine 10 includes an inlet section 12, a compressor section 14, a combustor section 16, a turbine section 18, and an exhaust section 20. In operation, air is drawn in through the inlet 12 and compressed to a high pressure relative to ambient pressure in the compressor section 14. The air is mixed with fuel in the combustor section 16 wherein the fuel/air mixture burns and produces a high temperature and pressure working fluid from which the turbine section 18 extracts power. The turbine section 18 is mechanically coupled to the compressor section 14 via a shaft 22. The shaft 22 rotates about a centerline axis 24 that extends axially along the longitudinal axis of the engine 10, such that as the turbine section 18 rotates due to the forces generated by the high pressure working fluid, the compressor section 14 is rotatingly driven by the turbine section 18 to produce compressed air. A portion of the power extracted from the turbine section 18 can be utilized to drive a secondary device 26, which in one embodiment can be an electrical generator. The electrical generator can be run at a substantially constant speed that is appropriate for a desired power grid frequency; a non-limiting example being 50 or 60 Hz. Alternatively the secondary device 26 can be in the form of a compressor or pump for use in fluid pipelines such as oil or natural gas lines.

Referring now to FIG. 2, a partial cross section of the turbine section 18 is shown therein. As the working fluid exits the combustor section 16, the working fluid is constrained between an inner flow path wall 31 and an outer flow path wall 33 as it flows through the turbine section 18. The turbine section 18 includes a turbine inlet or first stage nozzle guide vane (NGV) assembly 30. The first stage NGV assembly 30 includes a plurality of static vanes or airfoils 32 positioned circumferentially around a flow path annulus of the engine 10. The first stage NGV assembly 30 is operable for accelerating and turning the flow of working fluid to a desired direction, as the working fluid exits the combustor section 16 and enters the turbine section 18.

Each airfoil 32 of the first stage NGV assembly 30 extends between a leading edge 34 and a trailing edge 36 in the stream wise direction and between an inner shroud 38 and an outer shroud 40 in the spanwise direction. It should be understood that the terms leading edge and trailing edge are defined relative to the general flow path of the working fluid, such that the working fluid first passes the leading edge and subsequently passes the trailing edge of a particular airfoil. The inner and outer shrouds 38, 40 form a portion of the inner and outer flow path walls 31, 33 respectively at that location in the engine 10.

The turbine section 18 further includes a first stage turbine assembly 42 positioned downstream of the first stage NGV assembly 30. The first stage turbine assembly 42 includes a first turbine wheel 44 which is comprised of a first turbine disk 46 having a plurality of first stage turbine blades 48 coupled thereto. It should be noted here that in one preferred embodiment the turbine blades 48 and the disk 46 can be separate components, but that the present invention contemplates other forms such as a turbine wheel having the blades and disk integrally formed together. This type of component is commonly called a “BLISK,” short for a “Bladed Disk,” by those working in the gas turbine engine industry.

Each turbine blade 48 includes an airfoil 50 that rotates with the turbine disk 46. Each airfoil 50 extends between a leading edge 52 and a trailing edge 54 in the stream wise direction and between an inner shroud or platform 56 and an outer shroud 58 in the spanwise direction. The disk 46 may include one or more seals 60 extending forward or aft in the streamwise direction. The seals 60, sometimes called rotating knife seals, limit the leakage of working fluid from the desired flowpath. The first stage turbine assembly 42 is operable for extracting energy from the working fluid via the airfoils 50 which in turn cause the turbine wheel 44 to rotate and drive the shaft 22.

Directly downstream of the first stage turbine assembly 42 is a second stage nozzle guide vane (NGV) assembly 70. The second stage NGV assembly 70 includes a plurality of static vanes or airfoils 72 positioned circumferentially around the flow path of the engine 10. The airfoils 72 of the second stage NGV assembly 70 are operable for accelerating and turning the working fluid flow to a desired direction as the working fluid exits the second stage NGV assembly 70. Each airfoil 72 extends between a leading edge 74 and a trailing edge 76 in the stream wise direction and between an inner shroud 78 and an outer shroud 80 in the spanwise direction. The inner and outer shrouds 78, 80 form a portion of the inner and outer flow path walls 31, 33 respectively at that location in the engine 10.

A second stage turbine assembly 82 is positioned downstream of the second stage NGV assembly 70. The second stage turbine assembly 82 includes a second turbine wheel 84 which is comprised of a second turbine disk 86 having a plurality of second stage turbine blades 88 coupled thereto. Each turbine blade 88 includes an airfoil 90 that rotates with the turbine disk 86 when the engine 10 is running. Each airfoil 90 extends between a leading edge 92 and a trailing edge 94 in the stream wise direction and between an inner shroud or platform 96 and an outer shroud 98 in the spanwise direction. The disk 86 may include one or more seals 100 extending forward or aft in the streamwise direction. In this particular embodiment of the invention, the second stage turbine assembly 82 is connected to the first stage turbine assembly 42 and therefore increases the power delivered to the shaft 22.

A third stage nozzle guide vane (NGV) assembly 110 is located downstream of the second stage turbine assembly 82. The third stage NGV assembly 110 includes a plurality of static vanes or airfoils 112 positioned circumferentially around the flowpath of the engine 10. The airfoils 112 of the third stage NGV assembly 110 are operable for accelerating and turning the working fluid flow to a desired direction as the working fluid exits the third stage NGV assembly 110. Each airfoil 112 extends between a leading edge 114 and a trailing edge 116 in the streamwise direction and between an inner shroud 118 and an outer shroud 120 in the spanwise direction. The inner and outer shrouds 118, 120 form a portion of the inner and outer flow path walls 31, 33 respectively at that location in the engine 10. The third stage nozzle guide vane (NGV) assembly 110 will be described in more detail below.

A third stage turbine assembly 130 is positioned downstream of the third stage NGV 110. The third stage turbine assembly 130 includes a third turbine wheel 132 which is comprised of a third turbine disk 134 having a plurality of third stage turbine blades 136 coupled thereto. Each turbine blade 136 includes an airfoil 138 that rotates with the turbine disk 134 when the engine 10 is running. Each airfoil 138 extends between a leading edge 140 and a trailing edge 142 in the stream wise direction and between an inner shroud or platform 144 and an outer shroud 146 in the spanwise direction. The third disk 134 may also include one or more seals 148 extending forward or aft of the disk 134 in the streamwise direction. Similar to the second stage turbine assembly 82, the third stage turbine assembly 130 is also connected to the first stage turbine assembly 42 and therefore further increases the power delivered to the shaft 22.

Although not shown in each of the drawings it should be understood the airfoils for both the turbine blades and turbine nozzle guide vanes may include internal cooling flow passages and apertures extending through portions of the external surfaces of the airfoil. Pressurized cooling fluid can then flow from the internal passages through the apertures to cool the external surface of the airfoils as would be known to those skilled in the art. In this manner, the engine 10 may be run at the higher turbine inlet temperatures, and thus produce higher thermal efficiencies while still providing adequate component life as measured by such parameters as high cycle fatigue limits, low cycle fatigue limits, and creep, etc.

It should be further noted that the airfoils may include coatings to increase component life. The coatings can be of the thermal barrier type and/or the radiation barrier type. Thermal barrier coatings have relatively low heat transfer coefficients which help to reduce the heat load that the cooling fluid is required to dissipate. Thermal barrier coatings are typically ceramic based and can include mullite and zirconia based composites, although other types of coatings are contemplated herein. Radiation barrier coatings operate to reduce radiation heat transfer to the coated component by having highly reflective external surfaces such that radiation emanating from the high temperature exhaust gas is at least partially reflected away and not absorbed by the component. Radiation barrier coatings can include materials from high temperature chromium based alloys as is known to those skilled in the art. The radiation barrier coatings and thermal barrier coatings can be used to coat the entire airfoil, but alternate embodiments include a partial coating and/or a coating with intermittent discontinuities formed therein.

Referring now to FIGS. 3 through 9, the third stage nozzle guide vane (NGV) assembly 110 will be described in more detail. As partially described previously, the nozzle guide vane assembly 110 includes an inner shroud 118 wherein an outer surface 350 of the shroud defines a portion of the inner flow path wall 31 at that particular location in the engine 10. A plurality of airfoils 112 extend radially outward from the outer surface 350 of the shroud 118 from a hub 352 toward a tip 354. Each airfoil 112 is attached to the shroud 118 proximate the hub 352 of the airfoil 112. The airfoils 112 can be integrally formed with the shroud 118 through a casting process or the like or alternatively may be mechanically joined via welding, brazing or by any other joining method known to those skilled in the art. An outer shroud 120 can be attached to the airfoil 112 proximate the tip 354 of the airfoil 112. The outer shroud 120 includes an inner surface 156 which forms a portion of the outer flow path 33 in the turbine section 18. The third stage nozzle guide vane assembly 110 further includes an outer lug 360 positioned above each airfoil 112. The lugs 360 are operable for reacting torque loads produced by the airfoils 112 through the frame (not shown) of the aircraft engine 10.

Each airfoil 112 includes an external surface 361 having first and second sides 363, 365 sometimes called pressure and suction sides respectively. The external surface 361 of the airfoil 112 provides aerodynamic control of the flow of working fluid so as to optimize efficiency in the turbine section 18. The external surface 361 of the airfoil 112 is substantially defined by Table 1 listed below. Table 1 lists data points in Cartesian coordinates that define the external surface of the airfoil 112 at discrete locations. The Z axis coordinates are generally measured radially outward from a reference location. In one form the reference location is the engine centerline axis, and in another form the reference location is the inner shroud 118 from the hub 352. The Z axis defines an imaginary stacking axis from which the contoured external surface is formed. The term “stacking axis,” as it is typically used by aerodynamic design engineers, is nominally defined normal to the inner shroud 118 or in a radial direction from the axis of rotation, but in practice can “lean” or “tilt” in a desired direction to satisfy mechanical design criteria as is known to those skilled in the art. The lean or tilt angle is typically within 10°-25° of the normal plane in any direction relative to the inner shroud 118, but can vary with larger angles as necessary to satisfy design criteria. The X axis coordinates are generally measured normal to the stacking axis in a streamwise direction. The Y axis coordinates are generally measured normal to the stacking axis and normal to the X axis. The airfoil 112 defined by Table 1 improves the third stage turbine nozzle guide vane efficiency by 2.03% over prior art designs.

While the external surface of airfoil 112 is defined by discrete points, the surface can be “smoothed” between these discrete points by parametric spline fit techniques and the like. One such method called numerical uniform rational B-spline (NURB-S) is employed by software run on Unigraphics® computer aided design workstations. The data splines can be formed in the streamwise direction and or the spanwise direction of the airfoil 112. Other surface smoothing techniques known to those skilled in the art are also contemplated by the present invention.

The airfoils of the present invention can be formed from any manufacturing process known to those skilled in the art. One such process is an investment casting method whereby the entire third stage NGV assembly 110 is integrally cast as a one-piece component. Alternatively the third stage NGV assembly 110 can be formed in multiple pieces and bonded together. In another form the third stage NGV assembly 110 can be formed from wrought material and finished machined to a desired specification.

The present invention includes airfoils having an external surface formed within a manufacturing tolerance of +/−0.025 inches with respect to any particular point in Table 1 or spline curve between discrete points. Furthermore, if the airfoil of the present invention has a material coating applied, the tolerance band can be increased to +/−0.050 inches.

TABLE 1 Coordinates for airfoils on the third stage nozzle guide vane (in). A. Section height 9.50 X1 = 0.70515 Y1 = −0.28906 Z1 = 9.50000 X2 = 0.66361 Y2 = −0.21947 Z2 = 9.50000 X3 = 0.62112 Y3 = −0.15044 Z3 = 9.50000 X4 = 0.57768 Y4 = −0.08201 Z4 = 9.50000 X5 = 0.53304 Y5 = −0.01436 Z5 = 9.50000 X6 = 0.48657 Y6 = 0.05205 Z6 = 9.50000 X7 = 0.43753 Y7 = 0.11657 Z7 = 9.50000 X8 = 0.38560 Y8 = 0.17880 Z8 = 9.50000 X9 = 0.33069 Y9 = 0.23841 Z9 = 9.50000 X10 = 0.27268 Y10 = 0.29500 Z10 = 9.50000 X11 = 0.21149 Y11 = 0.34814 Z11 = 9.50000 X12 = 0.14712 Y12 = 0.39736 Z12 = 9.50000 X13 = 0.07961 Y13 = 0.44220 Z13 = 9.50000 X14 = 0.00922 Y14 = 0.48235 Z14 = 9.50000 X15 = −0.06408 Y15 = 0.51691 Z15 = 9.50000 X16 = −0.13999 Y16 = 0.54524 Z16 = 9.50000 X17 = −0.21803 Y17 = 0.56707 Z17 = 9.50000 X18 = −0.29759 Y18 = 0.58240 Z18 = 9.50000 X19 = −0.37814 Y19 = 0.59129 Z19 = 9.50000 X20 = −0.45913 Y20 = 0.59381 Z20 = 9.50000 X21 = 0.70515 Y21 = −0.28906 Z21 = 9.50000 X22 = 0.70686 Y22 = −0.29750 Z22 = 9.50000 X23 = 0.70272 Y23 = −0.30517 Z23 = 9.50000 X24 = 0.69471 Y24 = −0.30817 Z24 = 9.50000 X25 = 0.68688 Y25 = −0.30456 Z25 = 9.50000 X26 = −0.50151 Y26 = 0.32036 Z26 = 9.50000 X27 = −0.43025 Y27 = 0.30820 Z27 = 9.50000 X28 = −0.35939 Y28 = 0.29398 Z28 = 9.50000 X29 = −0.28897 Y29 = 0.27764 Z29 = 9.50000 X30 = −0.21909 Y30 = 0.25919 Z30 = 9.50000 X31 = −0.14976 Y31 = 0.23873 Z31 = 9.50000 X32 = −0.08102 Y32 = 0.21638 Z32 = 9.50000 X33 = −0.01300 Y33 = 0.19194 Z33 = 9.50000 X34 = 0.05417 Y34 = 0.16523 Z34 = 9.50000 X35 = 0.12031 Y35 = 0.13608 Z35 = 9.50000 X36 = 0.18525 Y36 = 0.10434 Z36 = 9.50000 X37 = 0.24875 Y37 = 0.06983 Z37 = 9.50000 X38 = 0.31011 Y38 = 0.03163 Z38 = 9.50000 X39 = 0.36915 Y39 = −0.01005 Z39 = 9.50000 X40 = 0.42580 Y40 = −0.05493 Z40 = 9.50000 X41 = 0.48047 Y41 = −0.10222 Z41 = 9.50000 X42 = 0.53380 Y42 = −0.15102 Z42 = 9.50000 X43 = 0.58595 Y43 = −0.20107 Z43 = 9.50000 X44 = 0.63689 Y44 = −0.25235 Z44 = 9.50000 X45 = 0.68688 Y45 = −0.30456 Z45 = 9.50000 B. Section height 10.00 X1 = −0.88120 Y1 = 0.35113 Z1 = 10.00000 X2 = −0.88365 Y2 = 0.34084 Z2 = 10.00000 X3 = −0.88255 Y3 = 0.33031 Z3 = 10.00000 X4 = −0.87799 Y4 = 0.32077 Z4 = 10.00000 X5 = −0.87030 Y5 = 0.31354 Z5 = 10.00000 X6 = 0.71387 Y6 = −0.33174 Z6 = 10.00000 X7 = 0.67117 Y7 = −0.25720 Z7 = 10.00000 X8 = 0.62749 Y8 = −0.18323 Z8 = 10.00000 X9 = 0.58260 Y9 = −0.10999 Z9 = 10.00000 X10 = 0.53608 Y10 = −0.03777 Z10 = 10.00000 X11 = 0.48738 Y11 = 0.03300 Z11 = 10.00000 X12 = 0.43575 Y12 = 0.10165 Z12 = 10.00000 X13 = 0.38088 Y13 = 0.16774 Z13 = 10.00000 X14 = 0.32263 Y14 = 0.23087 Z14 = 10.00000 X15 = 0.26083 Y15 = 0.29052 Z15 = 10.00000 X16 = 0.19535 Y16 = 0.34610 Z16 = 10.00000 X17 = 0.12614 Y17 = 0.39697 Z17 = 10.00000 X18 = 0.05341 Y18 = 0.44267 Z18 = 10.00000 X19 = −0.02267 Y19 = 0.48249 Z19 = 10.00000 X20 = −0.10200 Y20 = 0.51539 Z20 = 10.00000 X21 = −0.18407 Y21 = 0.54068 Z21 = 10.00000 X22 = −0.26819 Y22 = 0.55792 Z22 = 10.00000 X23 = −0.35359 Y23 = 0.56699 Z23 = 10.00000 X24 = −0.43946 Y24 = 0.56795 Z24 = 10.00000 X25 = −0.52500 Y25 = 0.56046 Z25 = 10.00000 X26 = −0.60916 Y26 = 0.54348 Z26 = 10.00000 X27 = −0.69032 Y27 = 0.51556 Z27 = 10.00000 X28 = −0.76646 Y28 = 0.47596 Z28 = 10.00000 X29 = −0.83271 Y29 = 0.42166 Z29 = 10.00000 X30 = −0.88120 Y30 = 0.35113 Z30 = 10.00000 X31 = 0.71387 Y31 = −0.33174 Z31 = 10.00000 X32 = 0.71539 Y32 = −0.34024 Z32 = 10.00000 X33 = 0.71111 Y33 = −0.34784 Z33 = 10.00000 X34 = 0.70302 Y34 = −0.35069 Z34 = 10.00000 X35 = 0.69527 Y35 = −0.34686 Z35 = 10.00000 X36 = 0.69527 Y36 = −0.34686 Z36 = 10.00000 X37 = 0.64553 Y37 = −0.29275 Z37 = 10.00000 X38 = 0.59463 Y38 = −0.23974 Z38 = 10.00000 X39 = 0.54263 Y39 = −0.18781 Z39 = 10.00000 X40 = 0.48928 Y40 = −0.13726 Z40 = 10.00000 X41 = 0.43431 Y41 = −0.08848 Z41 = 10.00000 X42 = 0.37743 Y42 = −0.04195 Z42 = 10.00000 X43 = 0.31833 Y43 = 0.00173 Z43 = 10.00000 X44 = 0.25700 Y44 = 0.04222 Z44 = 10.00000 X45 = 0.19359 Y45 = 0.07936 Z45 = 10.00000 X46 = 0.12849 Y46 = 0.11345 Z46 = 10.00000 X47 = 0.06190 Y47 = 0.14455 Z47 = 10.00000 X48 = −0.00599 Y48 = 0.17269 Z48 = 10.00000 X49 = −0.07502 Y49 = 0.19791 Z49 = 10.00000 X50 = −0.14503 Y50 = 0.22026 Z50 = 10.00000 X51 = −0.21588 Y51 = 0.23977 Z51 = 10.00000 X52 = −0.28746 Y52 = 0.25642 Z52 = 10.00000 X53 = −0.35966 Y53 = 0.27016 Z53 = 10.00000 X54 = −0.43234 Y54 = 0.28102 Z54 = 10.00000 X55 = −0.50537 Y55 = 0.28925 Z55 = 10.00000 X56 = −0.57865 Y56 = 0.29481 Z56 = 10.00000 X57 = −0.65208 Y57 = 0.29782 Z57 = 10.00000 X58 = −0.72557 Y58 = 0.29917 Z58 = 10.00000 X59 = −0.79906 Y59 = 0.30001 Z59 = 10.00000 X60 = −0.87030 Y60 = 0.31354 Z60 = 10.00000 C. Section height 10.50 X1 = −0.90051 Y1 = 0.29605 Z1 = 10.50000 X2 = −0.90234 Y2 = 0.28568 Z2 = 10.50000 X3 = −0.90058 Y3 = 0.27528 Z3 = 10.50000 X4 = −0.89535 Y4 = 0.26613 Z4 = 10.50000 X5 = −0.88711 Y5 = 0.25958 Z5 = 10.50000 X6 = −0.90051 Y6 = 0.29605 Z6 = 10.50000 X7 = −0.85148 Y7 = 0.36917 Z7 = 10.50000 X8 = −0.78511 Y8 = 0.42731 Z8 = 10.50000 X9 = −0.70898 Y9 = 0.47214 Z9 = 10.50000 X10 = −0.62739 Y10 = 0.50611 Z10 = 10.50000 X11 = −0.54212 Y11 = 0.52940 Z11 = 10.50000 X12 = −0.45475 Y12 = 0.54272 Z12 = 10.50000 X13 = −0.36643 Y13 = 0.54630 Z13 = 10.50000 X14 = −0.27824 Y14 = 0.54035 Z14 = 10.50000 X15 = −0.19121 Y15 = 0.52490 Z15 = 10.50000 X16 = −0.10631 Y16 = 0.50027 Z16 = 10.50000 X17 = −0.02436 Y17 = 0.46716 Z17 = 10.50000 X18 = 0.05409 Y18 = 0.42640 Z18 = 10.50000 X19 = 0.12890 Y19 = 0.37927 Z19 = 10.50000 X20 = 0.19981 Y20 = 0.32647 Z20 = 10.50000 X21 = 0.26671 Y21 = 0.26865 Z21 = 10.50000 X22 = 0.32973 Y22 = 0.20663 Z22 = 10.50000 X23 = 0.38901 Y23 = 0.14103 Z23 = 10.50000 X24 = 0.44467 Y24 = 0.07231 Z24 = 10.50000 X25 = 0.49682 Y25 = 0.00091 Z25 = 10.50000 X26 = 0.54603 Y26 = −0.07257 Z26 = 10.50000 X27 = 0.59285 Y27 = −0.14759 Z27 = 10.50000 X28 = 0.63769 Y28 = −0.22382 Z28 = 10.50000 X29 = 0.68104 Y29 = −0.30089 Z29 = 10.50000 X30 = 0.72360 Y30 = −0.37841 Z30 = 10.50000 X31 = 0.72360 Y31 = −0.37841 Z31 = 10.50000 X32 = 0.72501 Y32 = −0.38698 Z32 = 10.50000 X33 = 0.72054 Y33 = −0.39451 Z33 = 10.50000 X34 = 0.71233 Y34 = −0.39711 Z34 = 10.50000 X35 = 0.70462 Y35 = −0.39309 Z35 = 10.50000 X36 = 0.70462 Y36 = −0.39309 Z36 = 10.50000 X37 = 0.65481 Y37 = −0.33685 Z37 = 10.50000 X38 = 0.60400 Y38 = −0.28150 Z38 = 10.50000 X39 = 0.55205 Y39 = −0.22723 Z39 = 10.50000 X40 = 0.49855 Y40 = −0.17448 Z40 = 10.50000 X41 = 0.44320 Y41 = −0.12369 Z41 = 10.50000 X42 = 0.38583 Y42 = −0.07519 Z42 = 10.50000 X43 = 0.32637 Y43 = −0.02927 Z43 = 10.50000 X44 = 0.26479 Y44 = 0.01375 Z44 = 10.50000 X45 = 0.20113 Y45 = 0.05365 Z45 = 10.50000 X46 = 0.13555 Y46 = 0.09030 Z46 = 10.50000 X47 = 0.06822 Y47 = 0.12361 Z47 = 10.50000 X48 = −0.00071 Y48 = 0.15348 Z48 = 10.50000 X49 = −0.07109 Y49 = 0.17975 Z49 = 10.50000 X50 = −0.14273 Y50 = 0.20234 Z50 = 10.50000 X51 = −0.21547 Y51 = 0.22114 Z51 = 10.50000 X52 = −0.28906 Y52 = 0.23620 Z52 = 10.50000 X53 = −0.36334 Y53 = 0.24745 Z53 = 10.50000 X54 = −0.43808 Y54 = 0.25505 Z54 = 10.50000 X55 = −0.51308 Y55 = 0.25931 Z55 = 10.50000 X56 = −0.58820 Y56 = 0.26040 Z56 = 10.50000 X57 = −0.66331 Y57 = 0.25866 Z57 = 10.50000 X58 = −0.73836 Y58 = 0.25522 Z58 = 10.50000 X59 = −0.81338 Y59 = 0.25121 Z59 = 10.50000 X60 = −0.88711 Y60 = 0.25958 Z60 = 10.50000 D. Section height 11.00 X1 = −0.90354 Y1 = 0.21360 Z1 = 11.00000 X2 = −0.91223 Y2 = 0.21940 Z2 = 11.00000 X3 = −0.91807 Y3 = 0.22807 Z3 = 11.00000 X4 = −0.92048 Y4 = 0.23826 Z4 = 11.00000 X5 = −0.91923 Y5 = 0.24864 Z5 = 11.00000 X6 = −0.91923 Y6 = 0.24864 Z6 = 11.00000 X7 = −0.86994 Y7 = 0.32477 Z7 = 11.00000 X8 = −0.80315 Y8 = 0.38669 Z8 = 11.00000 X9 = −0.72646 Y9 = 0.43595 Z9 = 11.00000 X10 = −0.64391 Y10 = 0.47464 Z10 = 11.00000 X11 = −0.55717 Y11 = 0.50274 Z11 = 11.00000 X12 = −0.46769 Y12 = 0.52026 Z12 = 11.00000 X13 = −0.37675 Y13 = 0.52672 Z13 = 11.00000 X14 = −0.28568 Y14 = 0.52230 Z14 = 11.00000 X15 = −0.19573 Y15 = 0.50734 Z15 = 11.00000 X16 = −0.10803 Y16 = 0.48237 Z16 = 11.00000 X17 = −0.02357 Y17 = 0.44802 Z17 = 11.00000 X18 = 0.05705 Y18 = 0.40537 Z18 = 11.00000 X19 = 0.13374 Y19 = 0.35600 Z19 = 11.00000 X20 = 0.20629 Y20 = 0.30073 Z20 = 11.00000 X21 = 0.27472 Y21 = 0.24042 Z21 = 11.00000 X22 = 0.33911 Y22 = 0.17581 Z22 = 11.00000 X23 = 0.39958 Y23 = 0.10752 Z23 = 11.00000 X24 = 0.45622 Y24 = 0.03601 Z24 = 11.00000 X25 = 0.50922 Y25 = −0.03824 Z25 = 11.00000 X26 = 0.55904 Y26 = −0.11465 Z26 = 11.00000 X27 = 0.60608 Y27 = −0.19282 Z27 = 11.00000 X28 = 0.65065 Y28 = −0.27241 Z28 = 11.00000 X29 = 0.69343 Y29 = −0.35299 Z29 = 11.00000 X30 = 0.73569 Y30 = −0.43385 Z30 = 11.00000 X31 = 0.73569 Y31 = −0.43385 Z31 = 11.00000 X32 = 0.73700 Y32 = −0.44248 Z32 = 11.00000 X33 = 0.73233 Y33 = −0.44992 Z33 = 11.00000 X34 = 0.72397 Y34 = −0.45230 Z34 = 11.00000 X35 = 0.71630 Y35 = −0.44811 Z35 = 11.00000 X36 = −0.90354 Y36 = 0.21360 Z36 = 11.00000 X37 = −0.82731 Y37 = 0.20974 Z37 = 11.00000 X38 = −0.75064 Y38 = 0.21778 Z38 = 11.00000 X39 = −0.67388 Y39 = 0.22501 Z39 = 11.00000 X40 = −0.59695 Y40 = 0.23005 Z40 = 11.00000 X41 = −0.51989 Y41 = 0.23202 Z41 = 11.00000 X42 = −0.44282 Y42 = 0.23035 Z42 = 11.00000 X43 = −0.36594 Y43 = 0.22469 Z43 = 11.00000 X44 = −0.28950 Y44 = 0.21471 Z44 = 11.00000 X45 = −0.21379 Y45 = 0.20023 Z45 = 11.00000 X46 = −0.13907 Y46 = 0.18127 Z46 = 11.00000 X47 = −0.06564 Y47 = 0.15780 Z47 = 11.00000 X48 = 0.00625 Y48 = 0.12999 Z48 = 11.00000 X49 = 0.07643 Y49 = 0.09810 Z49 = 11.00000 X50 = 0.14473 Y50 = 0.06236 Z50 = 11.00000 X51 = 0.21102 Y51 = 0.02300 Z51 = 11.00000 X52 = 0.27515 Y52 = −0.01978 Z52 = 11.00000 X53 = 0.33714 Y53 = −0.06561 Z53 = 11.00000 X54 = 0.39695 Y54 = −0.11423 Z54 = 11.00000 X55 = 0.45466 Y55 = −0.16536 Z55 = 11.00000 X56 = 0.51018 Y56 = −0.21884 Z56 = 11.00000 X57 = 0.56368 Y57 = −0.27435 Z57 = 11.00000 X58 = 0.61554 Y58 = −0.33139 Z58 = 11.00000 X59 = 0.66627 Y59 = −0.38945 Z59 = 11.00000 X60 = 0.71630 Y60 = −0.44811 Z60 = 11.00000 E. Section height 11.50 X1 = −0.93641 Y1 = 0.21729 Z1 = 11.50000 X2 = −0.93705 Y2 = 0.20706 Z2 = 11.50000 X3 = −0.93411 Y3 = 0.19725 Z3 = 11.50000 X4 = −0.92786 Y4 = 0.18913 Z4 = 11.50000 X5 = −0.91902 Y5 = 0.18398 Z5 = 11.50000 X6 = −0.93641 Y6 = 0.21729 Z6 = 11.50000 X7 = −0.88758 Y7 = 0.29676 Z7 = 11.50000 X8 = −0.81963 Y8 = 0.36149 Z8 = 11.50000 X9 = −0.74115 Y9 = 0.41305 Z9 = 11.50000 X10 = −0.65645 Y10 = 0.45365 Z10 = 11.50000 X11 = −0.56735 Y11 = 0.48340 Z11 = 11.50000 X12 = −0.47527 Y12 = 0.50201 Z12 = 11.50000 X13 = −0.38158 Y13 = 0.50865 Z13 = 11.50000 X14 = −0.28778 Y14 = 0.50349 Z14 = 11.50000 X15 = −0.19527 Y15 = 0.48719 Z15 = 11.50000 X16 = −0.10522 Y16 = 0.46040 Z16 = 11.50000 X17 = −0.01873 Y17 = 0.42372 Z17 = 11.50000 X18 = 0.06358 Y18 = 0.37839 Z18 = 11.50000 X19 = 0.14169 Y19 = 0.32616 Z19 = 11.50000 X20 = 0.21558 Y20 = 0.26809 Z20 = 11.50000 X21 = 0.28533 Y21 = 0.20511 Z21 = 11.50000 X22 = 0.35096 Y22 = 0.13784 Z22 = 11.50000 X23 = 0.41253 Y23 = 0.06683 Z23 = 11.50000 X24 = 0.47017 Y24 = −0.00741 Z24 = 11.50000 X25 = 0.52405 Y25 = −0.08442 Z25 = 11.50000 X26 = 0.57435 Y26 = −0.16382 Z26 = 11.50000 X27 = 0.62141 Y27 = −0.24517 Z27 = 11.50000 X28 = 0.66556 Y28 = −0.32815 Z28 = 11.50000 X29 = 0.70750 Y29 = −0.41227 Z29 = 11.50000 X30 = 0.74925 Y30 = −0.49648 Z30 = 11.50000 X31 = 0.74925 Y31 = −0.49648 Z31 = 11.50000 X32 = 0.75044 Y32 = −0.50518 Z32 = 11.50000 X33 = 0.74557 Y33 = −0.51255 Z33 = 11.50000 X34 = 0.73712 Y34 = −0.51474 Z34 = 11.50000 X35 = 0.72947 Y35 = −0.51038 Z35 = 11.50000 X36 = −0.91902 Y36 = 0.18398 Z36 = 11.50000 X37 = −0.84044 Y37 = 0.18202 Z37 = 11.50000 X38 = −0.76181 Y38 = 0.19168 Z38 = 11.50000 X39 = −0.68304 Y39 = 0.20022 Z39 = 11.50000 X40 = −0.60403 Y40 = 0.20604 Z40 = 11.50000 X41 = −0.52485 Y41 = 0.20856 Z41 = 11.50000 X42 = −0.44564 Y42 = 0.20725 Z42 = 11.50000 X43 = −0.36662 Y43 = 0.20165 Z43 = 11.50000 X44 = −0.28807 Y44 = 0.19139 Z44 = 11.50000 X45 = −0.21032 Y45 = 0.17626 Z45 = 11.50000 X46 = −0.13367 Y46 = 0.15626 Z46 = 11.50000 X47 = −0.05849 Y47 = 0.13131 Z47 = 11.50000 X48 = 0.01496 Y48 = 0.10163 Z48 = 11.50000 X49 = 0.08646 Y49 = 0.06752 Z49 = 11.50000 X50 = 0.15583 Y50 = 0.02928 Z50 = 11.50000 X51 = 0.22293 Y51 = −0.01282 Z51 = 11.50000 X52 = 0.28765 Y52 = −0.05851 Z52 = 11.50000 X53 = 0.35004 Y53 = −0.10733 Z53 = 11.50000 X54 = 0.41013 Y54 = −0.15897 Z54 = 11.50000 X55 = 0.46789 Y55 = −0.21318 Z55 = 11.50000 X56 = 0.52338 Y56 = −0.26973 Z56 = 11.50000 X57 = 0.57674 Y57 = −0.32828 Z57 = 11.50000 X58 = 0.62845 Y58 = −0.38831 Z58 = 11.50000 X59 = 0.67916 Y59 = −0.44918 Z59 = 11.50000 X60 = 0.72947 Y60 = −0.51038 Z60 = 11.50000 F. Section height 12.00 X1 = −0.95230 Y1 = 0.20380 Z1 = 12.00000 X2 = −0.95232 Y2 = 0.19390 Z2 = 12.00000 X3 = −0.94896 Y3 = 0.18457 Z3 = 12.00000 X4 = −0.94257 Y4 = 0.17701 Z4 = 12.00000 X5 = −0.93387 Y5 = 0.17229 Z5 = 12.00000 X6 = −0.95230 Y6 = 0.20380 Z6 = 12.00000 X7 = −0.90467 Y7 = 0.28687 Z7 = 12.00000 X8 = −0.83458 Y8 = 0.35315 Z8 = 12.00000 X9 = −0.75286 Y9 = 0.40458 Z9 = 12.00000 X10 = −0.66478 Y10 = 0.44425 Z10 = 12.00000 X11 = −0.57234 Y11 = 0.47227 Z11 = 12.00000 X12 = −0.47714 Y12 = 0.48868 Z12 = 12.00000 X13 = −0.38063 Y13 = 0.49272 Z13 = 12.00000 X14 = −0.28437 Y14 = 0.48462 Z14 = 12.00000 X15 = −0.18976 Y15 = 0.46507 Z15 = 12.00000 X16 = −0.09799 Y16 = 0.43486 Z16 = 12.00000 X17 = −0.01008 Y17 = 0.39477 Z17 = 12.00000 X18 = 0.07341 Y18 = 0.34612 Z18 = 12.00000 X19 = 0.15244 Y19 = 0.29050 Z19 = 12.00000 X20 = 0.22721 Y20 = 0.22927 Z20 = 12.00000 X21 = 0.29788 Y21 = 0.16334 Z21 = 12.00000 X22 = 0.36442 Y22 = 0.09324 Z22 = 12.00000 X23 = 0.42686 Y23 = 0.01947 Z23 = 12.00000 X24 = 0.48530 Y24 = −0.05752 Z24 = 12.00000 X25 = 0.53988 Y25 = −0.13729 Z25 = 12.00000 X26 = 0.59048 Y26 = −0.21964 Z26 = 12.00000 X27 = 0.63741 Y27 = −0.30414 Z27 = 12.00000 X28 = 0.68105 Y28 = −0.39039 Z28 = 12.00000 X29 = 0.72215 Y29 = −0.47787 Z29 = 12.00000 X30 = 0.76334 Y30 = −0.56532 Z30 = 12.00000 X31 = 0.76334 Y31 = −0.56532 Z31 = 12.00000 X32 = 0.76441 Y32 = −0.57408 Z32 = 12.00000 X33 = 0.75938 Y33 = −0.58136 Z33 = 12.00000 X34 = 0.75081 Y34 = −0.58339 Z34 = 12.00000 X35 = 0.74320 Y35 = −0.57890 Z35 = 12.00000 X36 = −0.93387 Y36 = 0.17229 Z36 = 12.00000 X37 = −0.85301 Y37 = 0.16937 Z37 = 12.00000 X38 = −0.77201 Y38 = 0.17804 Z38 = 12.00000 X39 = −0.69087 Y39 = 0.18520 Z39 = 12.00000 X40 = −0.60951 Y40 = 0.18928 Z40 = 12.00000 X41 = −0.52805 Y41 = 0.18991 Z41 = 12.00000 X42 = −0.44666 Y42 = 0.18672 Z42 = 12.00000 X43 = −0.36554 Y43 = 0.17926 Z43 = 12.00000 X44 = −0.28500 Y44 = 0.16712 Z44 = 12.00000 X45 = −0.20536 Y45 = 0.15004 Z45 = 12.00000 X46 = −0.12695 Y46 = 0.12801 Z46 = 12.00000 X47 = −0.05015 Y47 = 0.10086 Z47 = 12.00000 X48 = 0.02472 Y48 = 0.06880 Z48 = 12.00000 X49 = 0.09746 Y49 = 0.03214 Z49 = 12.00000 X50 = 0.16786 Y50 = −0.00883 Z50 = 12.00000 X51 = 0.23577 Y51 = −0.05380 Z51 = 12.00000 X52 = 0.30106 Y52 = −0.10251 Z52 = 12.00000 X53 = 0.36382 Y53 = −0.15443 Z53 = 12.00000 X54 = 0.42405 Y54 = −0.20928 Z54 = 12.00000 X55 = 0.48172 Y55 = −0.26681 Z55 = 12.00000 X56 = 0.53700 Y56 = −0.32664 Z56 = 12.00000 X57 = 0.59016 Y57 = −0.38836 Z57 = 12.00000 X58 = 0.64176 Y58 = −0.45140 Z58 = 12.00000 X59 = 0.69252 Y59 = −0.51512 Z59 = 12.00000 X60 = 0.74320 Y60 = −0.57890 Z60 = 12.00000 G. Section height 12.50 X1 = −0.96947 Y1 = 0.20094 Z1 = 12.50000 X2 = −0.96893 Y2 = 0.19128 Z2 = 12.50000 X3 = −0.96519 Y3 = 0.18235 Z3 = 12.50000 X4 = −0.95865 Y4 = 0.17521 Z4 = 12.50000 X5 = −0.95002 Y5 = 0.17084 Z5 = 12.50000 X6 = 0.77660 Y6 = −0.63847 Z6 = 12.50000 X7 = 0.73563 Y7 = −0.54789 Z7 = 12.50000 X8 = 0.69485 Y8 = −0.45722 Z8 = 12.50000 X9 = 0.65141 Y9 = −0.36780 Z9 = 12.50000 X10 = 0.60448 Y10 = −0.28016 Z10 = 12.50000 X11 = 0.55366 Y11 = −0.19473 Z11 = 12.50000 X12 = 0.49862 Y12 = −0.11195 Z12 = 12.50000 X13 = 0.43962 Y13 = −0.03194 Z13 = 12.50000 X14 = 0.37661 Y14 = 0.04495 Z14 = 12.50000 X15 = 0.30950 Y15 = 0.11828 Z15 = 12.50000 X16 = 0.23825 Y16 = 0.18760 Z16 = 12.50000 X17 = 0.16289 Y17 = 0.25241 Z17 = 12.50000 X18 = 0.08321 Y18 = 0.31183 Z18 = 12.50000 X19 = −0.00119 Y19 = 0.36431 Z19 = 12.50000 X20 = −0.09020 Y20 = 0.40851 Z20 = 12.50000 X21 = −0.18334 Y21 = 0.44313 Z21 = 12.50000 X22 = −0.27978 Y22 = 0.46708 Z22 = 12.50000 X23 = −0.37837 Y23 = 0.47941 Z23 = 12.50000 X24 = −0.47772 Y24 = 0.47951 Z24 = 12.50000 X25 = −0.57629 Y25 = 0.46703 Z25 = 12.50000 X26 = −0.67254 Y26 = 0.44241 Z26 = 12.50000 X27 = −0.76459 Y27 = 0.40508 Z27 = 12.50000 X28 = −0.85031 Y28 = 0.35493 Z28 = 12.50000 X29 = −0.92312 Y29 = 0.28763 Z29 = 12.50000 X30 = −0.96947 Y30 = 0.20094 Z30 = 12.50000 X31 = 0.77660 Y31 = −0.63847 Z31 = 12.50000 X32 = 0.77754 Y32 = −0.64727 Z32 = 12.50000 X33 = 0.77232 Y33 = −0.65449 Z33 = 12.50000 X34 = 0.76371 Y34 = −0.65636 Z34 = 12.50000 X35 = 0.75611 Y35 = −0.65175 Z35 = 12.50000 X36 = −0.95002 Y36 = 0.17084 Z36 = 12.50000 X37 = −0.86674 Y37 = 0.16711 Z37 = 12.50000 X38 = −0.78316 Y38 = 0.17393 Z38 = 12.50000 X39 = −0.69944 Y39 = 0.17862 Z39 = 12.50000 X40 = −0.61560 Y40 = 0.17985 Z40 = 12.50000 X41 = −0.53179 Y41 = 0.17738 Z41 = 12.50000 X42 = −0.44819 Y42 = 0.17092 Z42 = 12.50000 X43 = −0.36504 Y43 = 0.16013 Z43 = 12.50000 X44 = −0.28265 Y44 = 0.14464 Z44 = 12.50000 X45 = −0.20132 Y45 = 0.12424 Z45 = 12.50000 X46 = −0.12139 Y46 = 0.09893 Z46 = 12.50000 X47 = −0.04326 Y47 = 0.06853 Z47 = 12.50000 X48 = 0.03280 Y48 = 0.03324 Z48 = 12.50000 X49 = 0.10655 Y49 = −0.00664 Z49 = 12.50000 X50 = 0.17781 Y50 = −0.05081 Z50 = 12.50000 X51 = 0.24643 Y51 = −0.09899 Z51 = 12.50000 X52 = 0.31228 Y52 = −0.15090 Z52 = 12.50000 X53 = 0.37543 Y53 = −0.20605 Z53 = 12.50000 X54 = 0.43585 Y54 = −0.26418 Z54 = 12.50000 X55 = 0.49354 Y55 = −0.32504 Z55 = 12.50000 X56 = 0.54879 Y56 = −0.38811 Z56 = 12.50000 X57 = 0.60201 Y57 = −0.45291 Z57 = 12.50000 X58 = 0.65381 Y58 = −0.51885 Z58 = 12.50000 X59 = 0.70490 Y59 = −0.58535 Z59 = 12.50000 X60 = 0.75611 Y60 = −0.65175 Z60 = 12.50000 H. Section height 13.00 X1 = −0.96949 Y1 = 0.17205 Z1 = 13.00000 X2 = −0.97844 Y2 = 0.17604 Z2 = 13.00000 X3 = −0.98543 Y3 = 0.18294 Z3 = 13.00000 X4 = −0.98963 Y4 = 0.19181 Z4 = 13.00000 X5 = −0.99057 Y5 = 0.20158 Z5 = 13.00000 X6 = −0.99057 Y6 = 0.20158 Z6 = 13.00000 X7 = −0.94483 Y7 = 0.29179 Z7 = 13.00000 X8 = −0.86907 Y8 = 0.36013 Z8 = 13.00000 X9 = −0.77928 Y9 = 0.40909 Z9 = 13.00000 X10 = −0.68319 Y10 = 0.44418 Z10 = 13.00000 X11 = −0.58310 Y11 = 0.46544 Z11 = 13.00000 X12 = −0.48113 Y12 = 0.47385 Z12 = 13.00000 X13 = −0.37891 Y13 = 0.46929 Z13 = 13.00000 X14 = −0.27799 Y14 = 0.45230 Z14 = 13.00000 X15 = −0.17978 Y15 = 0.42357 Z15 = 13.00000 X16 = −0.08531 Y16 = 0.38419 Z16 = 13.00000 X17 = 0.00474 Y17 = 0.33555 Z17 = 13.00000 X18 = 0.08998 Y18 = 0.27888 Z18 = 13.00000 X19 = 0.17022 Y19 = 0.21533 Z19 = 13.00000 X20 = 0.24598 Y20 = 0.14647 Z20 = 13.00000 X21 = 0.31748 Y21 = 0.07319 Z21 = 13.00000 X22 = 0.38473 Y22 = −0.00399 Z22 = 13.00000 X23 = 0.44785 Y23 = −0.08461 Z23 = 13.00000 X24 = 0.50697 Y24 = −0.16819 Z24 = 13.00000 X25 = 0.56219 Y25 = −0.25440 Z25 = 13.00000 X26 = 0.61327 Y26 = −0.34313 Z26 = 13.00000 X27 = 0.66059 Y27 = −0.43393 Z27 = 13.00000 X28 = 0.70460 Y28 = −0.52637 Z28 = 13.00000 X29 = 0.74609 Y29 = −0.61998 Z29 = 13.00000 X30 = 0.78752 Y30 = −0.71360 Z30 = 13.00000 X31 = 0.78752 Y31 = −0.71360 Z31 = 13.00000 X32 = 0.78831 Y32 = −0.72246 Z32 = 13.00000 X33 = 0.78297 Y33 = −0.72956 Z33 = 13.00000 X34 = 0.77425 Y34 = −0.73128 Z34 = 13.00000 X35 = 0.76670 Y35 = −0.72656 Z35 = 13.00000 X36 = 0.76670 Y36 = −0.72656 Z36 = 13.00000 X37 = 0.71471 Y37 = −0.65753 Z37 = 13.00000 X38 = 0.66278 Y38 = −0.58844 Z38 = 13.00000 X39 = 0.61018 Y39 = −0.51986 Z39 = 13.00000 X40 = 0.55627 Y40 = −0.45231 Z40 = 13.00000 X41 = 0.50048 Y41 = −0.38630 Z41 = 13.00000 X42 = 0.44233 Y42 = −0.32237 Z42 = 13.00000 X43 = 0.38145 Y43 = −0.26103 Z43 = 13.00000 X44 = 0.31780 Y44 = −0.20257 Z44 = 13.00000 X45 = 0.25145 Y45 = −0.14721 Z45 = 13.00000 X46 = 0.18233 Y46 = −0.09533 Z46 = 13.00000 X47 = 0.11055 Y47 = −0.04722 Z47 = 13.00000 X48 = 0.03620 Y48 = −0.00316 Z48 = 13.00000 X49 = −0.04056 Y49 = 0.03653 Z49 = 13.00000 X50 = −0.11957 Y50 = 0.07153 Z50 = 13.00000 X51 = −0.20058 Y51 = 0.10161 Z51 = 13.00000 X52 = −0.28324 Y52 = 0.12680 Z52 = 13.00000 X53 = −0.36728 Y53 = 0.14695 Z53 = 13.00000 X54 = −0.45235 Y54 = 0.16213 Z54 = 13.00000 X55 = −0.53816 Y55 = 0.17237 Z55 = 13.00000 X56 = −0.62440 Y56 = 0.17794 Z56 = 13.00000 X57 = −0.71081 Y57 = 0.17927 Z57 = 13.00000 X58 = −0.79718 Y58 = 0.17650 Z58 = 13.00000 X59 = −0.88341 Y59 = 0.17061 Z59 = 13.00000 X60 = −0.96949 Y60 = 0.17205 Z60 = 13.00000 I. Section height 13.50 X1 = −0.99314 Y1 = 0.17142 Z1 = 13.50000 X2 = −1.00292 Y2 = 0.17492 Z2 = 13.50000 X3 = −1.01074 Y3 = 0.18178 Z3 = 13.50000 X4 = −1.01554 Y4 = 0.19101 Z4 = 13.50000 X5 = −1.01668 Y5 = 0.20134 Z5 = 13.50000 X6 = −1.01668 Y6 = 0.20134 Z6 = 13.50000 X7 = −0.97038 Y7 = 0.29481 Z7 = 13.50000 X8 = −0.89154 Y8 = 0.36437 Z8 = 13.50000 X9 = −0.79791 Y9 = 0.41288 Z9 = 13.50000 X10 = −0.69798 Y10 = 0.44662 Z10 = 13.50000 X11 = −0.59418 Y11 = 0.46547 Z11 = 13.50000 X12 = −0.48881 Y12 = 0.47059 Z12 = 13.50000 X13 = −0.38366 Y13 = 0.46195 Z13 = 13.50000 X14 = −0.28037 Y14 = 0.44043 Z14 = 13.50000 X15 = −0.18029 Y15 = 0.40699 Z15 = 13.50000 X16 = −0.08439 Y16 = 0.36295 Z16 = 13.50000 X17 = 0.00677 Y17 = 0.30978 Z17 = 13.50000 X18 = 0.09285 Y18 = 0.24871 Z18 = 13.50000 X19 = 0.17371 Y19 = 0.18087 Z19 = 13.50000 X20 = 0.24971 Y20 = 0.10763 Z20 = 13.50000 X21 = 0.32113 Y21 = 0.02989 Z21 = 13.50000 X22 = 0.38808 Y22 = −0.05172 Z22 = 13.50000 X23 = 0.45079 Y23 = −0.13664 Z23 = 13.50000 X24 = 0.50958 Y24 = −0.22431 Z24 = 13.50000 X25 = 0.56469 Y25 = −0.31436 Z25 = 13.50000 X26 = 0.61608 Y26 = −0.40657 Z26 = 13.50000 X27 = 0.66425 Y27 = −0.50050 Z27 = 13.50000 X28 = 0.70967 Y28 = −0.59581 Z28 = 13.50000 X29 = 0.75290 Y29 = −0.69212 Z29 = 13.50000 X30 = 0.79553 Y30 = −0.78870 Z30 = 13.50000 X31 = 0.79553 Y31 = −0.78870 Z31 = 13.50000 X32 = 0.79616 Y32 = −0.79757 Z32 = 13.50000 X33 = 0.79067 Y33 = −0.80462 Z33 = 13.50000 X34 = 0.78194 Y34 = −0.80615 Z34 = 13.50000 X35 = 0.77442 Y35 = −0.80135 Z35 = 13.50000 X36 = 0.77442 Y36 = −0.80135 Z36 = 13.50000 X37 = 0.72134 Y37 = −0.72963 Z37 = 13.50000 X38 = 0.66802 Y38 = −0.65810 Z38 = 13.50000 X39 = 0.61396 Y39 = −0.58712 Z39 = 13.50000 X40 = 0.55865 Y40 = −0.51712 Z40 = 13.50000 X41 = 0.50163 Y41 = −0.44850 Z41 = 13.50000 X42 = 0.44241 Y42 = −0.38177 Z42 = 13.50000 X43 = 0.38072 Y43 = −0.31732 Z43 = 13.50000 X44 = 0.31641 Y44 = −0.25549 Z44 = 13.50000 X45 = 0.24959 Y45 = −0.19638 Z45 = 13.50000 X46 = 0.18020 Y46 = −0.14029 Z46 = 13.50000 X47 = 0.10827 Y47 = −0.08753 Z47 = 13.50000 X48 = 0.03380 Y48 = −0.03840 Z48 = 13.50000 X49 = −0.04314 Y49 = 0.00675 Z49 = 13.50000 X50 = −0.12246 Y50 = 0.04758 Z50 = 13.50000 X51 = −0.20402 Y51 = 0.08370 Z51 = 13.50000 X52 = −0.28765 Y52 = 0.11477 Z52 = 13.50000 X53 = −0.37306 Y53 = 0.14050 Z53 = 13.50000 X54 = −0.45997 Y54 = 0.16060 Z54 = 13.50000 X55 = −0.54808 Y55 = 0.17451 Z55 = 13.50000 X56 = −0.63693 Y56 = 0.18246 Z56 = 13.50000 X57 = −0.72609 Y57 = 0.18529 Z57 = 13.50000 X58 = −0.81528 Y58 = 0.18304 Z58 = 13.50000 X59 = −0.90424 Y59 = 0.17636 Z59 = 13.50000 X60 = −0.99314 Y60 = 0.17142 Z60 = 13.50000 J. Section height 14.00 X1 = −1.04544 Y1 = 0.20115 Z1 = 14.00000 X2 = −1.04422 Y2 = 0.19006 Z2 = 14.00000 X3 = −1.03883 Y3 = 0.18029 Z3 = 14.00000 X4 = −1.03009 Y4 = 0.17335 Z4 = 14.00000 X5 = −1.01934 Y5 = 0.17035 Z5 = 14.00000 X6 = −1.04544 Y6 = 0.20115 Z6 = 14.00000 X7 = −0.99749 Y7 = 0.29735 Z7 = 14.00000 X8 = −0.91499 Y8 = 0.36750 Z8 = 14.00000 X9 = −0.81758 Y9 = 0.41562 Z9 = 14.00000 X10 = −0.71391 Y10 = 0.44816 Z10 = 14.00000 X11 = −0.60653 Y11 = 0.46500 Z11 = 14.00000 X12 = −0.49787 Y12 = 0.46712 Z12 = 14.00000 X13 = −0.38989 Y13 = 0.45467 Z13 = 14.00000 X14 = −0.28431 Y14 = 0.42882 Z14 = 14.00000 X15 = −0.18242 Y15 = 0.39091 Z15 = 14.00000 X16 = −0.08509 Y16 = 0.34245 Z16 = 14.00000 X17 = 0.00719 Y17 = 0.28493 Z17 = 14.00000 X18 = 0.09413 Y18 = 0.21962 Z18 = 14.00000 X19 = 0.17565 Y19 = 0.14765 Z19 = 14.00000 X20 = 0.25189 Y20 = 0.07010 Z20 = 14.00000 X21 = 0.32312 Y21 = −0.01208 Z21 = 14.00000 X22 = 0.38961 Y22 = −0.09815 Z22 = 14.00000 X23 = 0.45174 Y23 = −0.18742 Z23 = 14.00000 X24 = 0.51000 Y24 = −0.27926 Z24 = 14.00000 X25 = 0.56481 Y25 = −0.37321 Z25 = 14.00000 X26 = 0.61644 Y26 = −0.46894 Z26 = 14.00000 X27 = 0.66547 Y27 = −0.56602 Z27 = 14.00000 X28 = 0.71240 Y28 = −0.66415 Z28 = 14.00000 X29 = 0.75756 Y29 = −0.76310 Z29 = 14.00000 X30 = 0.80164 Y30 = −0.86254 Z30 = 14.00000 X31 = 0.80164 Y31 = −0.86254 Z31 = 14.00000 X32 = 0.80216 Y32 = −0.87142 Z32 = 14.00000 X33 = 0.79656 Y33 = −0.87840 Z33 = 14.00000 X34 = 0.78781 Y34 = −0.87984 Z34 = 14.00000 X35 = 0.78033 Y35 = −0.87496 Z35 = 14.00000 X36 = −1.01934 Y36 = 0.17035 Z36 = 14.00000 X37 = −0.92807 Y37 = 0.18240 Z37 = 14.00000 X38 = −0.83622 Y38 = 0.19057 Z38 = 14.00000 X39 = −0.74405 Y39 = 0.19297 Z39 = 14.00000 X40 = −0.65192 Y40 = 0.18921 Z40 = 14.00000 X41 = −0.56024 Y41 = 0.17939 Z41 = 14.00000 X42 = −0.46966 Y42 = 0.16222 Z42 = 14.00000 X43 = −0.38084 Y43 = 0.13749 Z43 = 14.00000 X44 = −0.29406 Y44 = 0.10635 Z44 = 14.00000 X45 = −0.20955 Y45 = 0.06947 Z45 = 14.00000 X46 = −0.12756 Y46 = 0.02728 Z46 = 14.00000 X47 = −0.04809 Y47 = −0.01949 Z47 = 14.00000 X48 = 0.02886 Y48 = −0.07030 Z48 = 14.00000 X49 = 0.10327 Y49 = −0.12476 Z49 = 14.00000 X50 = 0.17520 Y50 = −0.18247 Z50 = 14.00000 X51 = 0.24472 Y51 = −0.24305 Z51 = 14.00000 X52 = 0.31190 Y52 = −0.30622 Z52 = 14.00000 X53 = 0.37682 Y53 = −0.37172 Z53 = 14.00000 X54 = 0.43942 Y54 = −0.43943 Z54 = 14.00000 X55 = 0.49986 Y55 = −0.50908 Z55 = 14.00000 X56 = 0.55836 Y56 = −0.58037 Z56 = 14.00000 X57 = 0.61529 Y57 = −0.65292 Z57 = 14.00000 X58 = 0.67103 Y58 = −0.72639 Z58 = 14.00000 X59 = 0.72595 Y59 = −0.80047 Z59 = 14.00000 X60 = 0.78033 Y60 = −0.87496 Z60 = 14.00000 K. Section height 14.50 X1 = −1.07388 Y1 = 0.20277 Z1 = 14.50000 X2 = −1.07267 Y2 = 0.19111 Z2 = 14.50000 X3 = −1.06688 Y3 = 0.18091 Z3 = 14.50000 X4 = −1.05750 Y4 = 0.17387 Z4 = 14.50000 X5 = −1.04609 Y5 = 0.17117 Z5 = 14.50000 X6 = −1.07388 Y6 = 0.20277 Z6 = 14.50000 X7 = −1.02341 Y7 = 0.30076 Z7 = 14.50000 X8 = −0.93620 Y8 = 0.36992 Z8 = 14.50000 X9 = −0.83490 Y9 = 0.41682 Z9 = 14.50000 X10 = −0.72750 Y10 = 0.44734 Z10 = 14.50000 X11 = −0.61677 Y11 = 0.46172 Z11 = 14.50000 X12 = −0.50511 Y12 = 0.46061 Z12 = 14.50000 X13 = −0.39461 Y13 = 0.44440 Z13 = 14.50000 X14 = −0.28700 Y14 = 0.41451 Z14 = 14.50000 X15 = −0.18349 Y15 = 0.37251 Z15 = 14.50000 X16 = −0.08486 Y16 = 0.32006 Z16 = 14.50000 X17 = 0.00847 Y17 = 0.25866 Z17 = 14.50000 X18 = 0.09629 Y18 = 0.18959 Z18 = 14.50000 X19 = 0.17858 Y19 = 0.11400 Z19 = 14.50000 X20 = 0.25523 Y20 = 0.03270 Z20 = 14.50000 X21 = 0.32645 Y21 = −0.05340 Z21 = 14.50000 X22 = 0.39267 Y22 = −0.14340 Z22 = 14.50000 X23 = 0.45440 Y23 = −0.23655 Z23 = 14.50000 X24 = 0.51221 Y24 = −0.33219 Z24 = 14.50000 X25 = 0.56664 Y25 = −0.42978 Z25 = 14.50000 X26 = 0.61823 Y26 = −0.52892 Z26 = 14.50000 X27 = 0.66764 Y27 = −0.62916 Z27 = 14.50000 X28 = 0.71537 Y28 = −0.73020 Z28 = 14.50000 X29 = 0.76178 Y29 = −0.83187 Z29 = 14.50000 X30 = 0.80699 Y30 = −0.93407 Z30 = 14.50000 X31 = 0.80699 Y31 = −0.93407 Z31 = 14.50000 X32 = 0.80751 Y32 = −0.94294 Z32 = 14.50000 X33 = 0.80183 Y33 = −0.94991 Z33 = 14.50000 X34 = 0.79307 Y34 = −0.95137 Z34 = 14.50000 X35 = 0.78563 Y35 = −0.94641 Z35 = 14.50000 X36 = −1.04609 Y36 = 0.17118 Z36 = 14.50000 X37 = −0.95225 Y37 = 0.18698 Z37 = 14.50000 X38 = −0.85739 Y38 = 0.19600 Z38 = 14.50000 X39 = −0.76214 Y39 = 0.19818 Z39 = 14.50000 X40 = −0.66698 Y40 = 0.19343 Z40 = 14.50000 X41 = −0.57241 Y41 = 0.18186 Z41 = 14.50000 X42 = −0.47922 Y42 = 0.16210 Z42 = 14.50000 X43 = −0.38820 Y43 = 0.13392 Z43 = 14.50000 X44 = −0.29967 Y44 = 0.09873 Z44 = 14.50000 X45 = −0.21384 Y45 = 0.05734 Z45 = 14.50000 X46 = −0.13099 Y46 = 0.01028 Z46 = 14.50000 X47 = −0.05098 Y47 = −0.04147 Z47 = 14.50000 X48 = 0.02625 Y48 = −0.09730 Z48 = 14.50000 X49 = 0.10075 Y49 = −0.15670 Z49 = 14.50000 X50 = 0.17267 Y50 = −0.21922 Z50 = 14.50000 X51 = 0.24215 Y51 = −0.28444 Z51 = 14.50000 X52 = 0.30939 Y52 = −0.35197 Z52 = 14.50000 X53 = 0.37450 Y53 = −0.42156 Z53 = 14.50000 X54 = 0.43761 Y54 = −0.49296 Z54 = 14.50000 X55 = 0.49884 Y55 = −0.56599 Z55 = 14.50000 X56 = 0.55839 Y56 = −0.64038 Z56 = 14.50000 X57 = 0.61656 Y57 = −0.71587 Z57 = 14.50000 X58 = 0.67361 Y58 = −0.79221 Z58 = 14.50000 X59 = 0.72994 Y59 = −0.86908 Z59 = 14.50000 X60 = 0.78563 Y60 = −0.94641 Z60 = 14.50000 L. Section height 15.00 X1 = −1.07171 Y1 = 0.17588 Z1 = 15.00000 X2 = −1.08319 Y2 = 0.17859 Z2 = 15.00000 X3 = −1.09261 Y3 = 0.18570 Z3 = 15.00000 X4 = −1.09841 Y4 = 0.19597 Z4 = 15.00000 X5 = −1.09956 Y5 = 0.20771 Z5 = 15.00000 X6 = −1.09956 Y6 = 0.20771 Z6 = 15.00000 X7 = −1.04580 Y7 = 0.30619 Z7 = 15.00000 X8 = −0.95266 Y8 = 0.37195 Z8 = 15.00000 X9 = −0.84728 Y9 = 0.41606 Z9 = 15.00000 X10 = −0.73625 Y10 = 0.44304 Z10 = 15.00000 X11 = −0.62250 Y11 = 0.45390 Z11 = 15.00000 X12 = −0.50832 Y12 = 0.44892 Z12 = 15.00000 X13 = −0.39579 Y13 = 0.42894 Z13 = 15.00000 X14 = −0.28653 Y14 = 0.39537 Z14 = 15.00000 X15 = −0.18168 Y15 = 0.34983 Z15 = 15.00000 X16 = −0.08193 Y16 = 0.29396 Z16 = 15.00000 X17 = 0.01238 Y17 = 0.22934 Z17 = 15.00000 X18 = 0.10110 Y18 = 0.15721 Z18 = 15.00000 X19 = 0.18424 Y19 = 0.07870 Z19 = 15.00000 X20 = 0.26158 Y20 = −0.00552 Z20 = 15.00000 X21 = 0.33320 Y21 = −0.09467 Z21 = 15.00000 X22 = 0.39959 Y22 = −0.18778 Z22 = 15.00000 X23 = 0.46127 Y23 = −0.28408 Z23 = 15.00000 X24 = 0.51882 Y24 = −0.38290 Z24 = 15.00000 X25 = 0.57283 Y25 = −0.48371 Z25 = 15.00000 X26 = 0.62395 Y26 = −0.58602 Z26 = 15.00000 X27 = 0.67285 Y27 = −0.68940 Z27 = 15.00000 X28 = 0.72020 Y28 = −0.79351 Z28 = 15.00000 X29 = 0.76660 Y29 = −0.89804 Z29 = 15.00000 X30 = 0.81232 Y30 = −1.00287 Z30 = 15.00000 X31 = 0.81232 Y31 = −1.00287 Z31 = 15.00000 X32 = 0.81286 Y32 = −1.01176 Z32 = 15.00000 X33 = 0.80720 Y33 = −1.01869 Z33 = 15.00000 X34 = 0.79842 Y34 = −1.02022 Z34 = 15.00000 X35 = 0.79102 Y35 = −1.01523 Z35 = 15.00000 X36 = 0.79102 Y36 = −1.01523 Z36 = 15.00000 X37 = 0.73413 Y37 = −0.93506 Z37 = 15.00000 X38 = 0.67697 Y38 = −0.85509 Z38 = 15.00000 X39 = 0.61933 Y39 = −0.77546 Z39 = 15.00000 X40 = 0.56082 Y40 = −0.69646 Z40 = 15.00000 X41 = 0.50113 Y41 = −0.61836 Z41 = 15.00000 X42 = 0.44004 Y42 = −0.54134 Z42 = 15.00000 X43 = 0.37729 Y43 = −0.46568 Z43 = 15.00000 X44 = 0.31270 Y44 = −0.39158 Z44 = 15.00000 X45 = 0.24597 Y45 = −0.31940 Z45 = 15.00000 X46 = 0.17677 Y46 = −0.24958 Z46 = 15.00000 X47 = 0.10483 Y47 = −0.18260 Z47 = 15.00000 X48 = 0.02991 Y48 = −0.11898 Z48 = 15.00000 X49 = −0.04818 Y49 = −0.05928 Z49 = 15.00000 X50 = −0.12952 Y50 = −0.00411 Z50 = 15.00000 X51 = −0.21419 Y51 = 0.04580 Z51 = 15.00000 X52 = −0.30219 Y52 = 0.08957 Z52 = 15.00000 X53 = −0.39320 Y53 = 0.12666 Z53 = 15.00000 X54 = −0.48684 Y54 = 0.15648 Z54 = 15.00000 X55 = −0.58273 Y55 = 0.17799 Z55 = 15.00000 X56 = −0.68009 Y56 = 0.19139 Z56 = 15.00000 X57 = −0.77816 Y57 = 0.19777 Z57 = 15.00000 X58 = −0.87644 Y58 = 0.19701 Z58 = 15.00000 X59 = −0.97439 Y59 = 0.18894 Z59 = 15.00000 X60 = −1.07171 Y60 = 0.17588 Z60 = 15.00000 M. Section height 15.50 X1 = −1.12236 Y1 = 0.21596 Z1 = 15.50000 X2 = −1.12128 Y2 = 0.20463 Z2 = 15.50000 X3 = −1.11584 Y3 = 0.19463 Z3 = 15.50000 X4 = −1.10694 Y4 = 0.18752 Z4 = 15.50000 X5 = −1.09598 Y5 = 0.18448 Z5 = 15.50000 X6 = −1.12236 Y6 = 0.21596 Z6 = 15.50000 X7 = −1.06450 Y7 = 0.31337 Z7 = 15.50000 X8 = −0.96488 Y8 = 0.37354 Z8 = 15.50000 X9 = −0.85541 Y9 = 0.41345 Z9 = 15.50000 X10 = −0.74097 Y10 = 0.43557 Z10 = 15.50000 X11 = −0.62457 Y11 = 0.44176 Z11 = 15.50000 X12 = −0.50836 Y12 = 0.43248 Z12 = 15.50000 X13 = −0.39423 Y13 = 0.40864 Z13 = 15.50000 X14 = −0.28365 Y14 = 0.37169 Z14 = 15.50000 X15 = −0.17763 Y15 = 0.32314 Z15 = 15.50000 X16 = −0.07679 Y16 = 0.26455 Z16 = 15.50000 X17 = 0.01851 Y17 = 0.19733 Z17 = 15.50000 X18 = 0.10815 Y18 = 0.12272 Z18 = 15.50000 X19 = 0.19226 Y19 = 0.04191 Z19 = 15.50000 X20 = 0.27068 Y20 = −0.04443 Z20 = 15.50000 X21 = 0.34330 Y21 = −0.13570 Z21 = 15.50000 X22 = 0.41040 Y22 = −0.23112 Z22 = 15.50000 X23 = 0.47241 Y23 = −0.32991 Z23 = 15.50000 X24 = 0.52993 Y24 = −0.43140 Z24 = 15.50000 X25 = 0.58354 Y25 = −0.53500 Z25 = 15.50000 X26 = 0.63380 Y26 = −0.64028 Z26 = 15.50000 X27 = 0.68132 Y27 = −0.74682 Z27 = 15.50000 X28 = 0.72704 Y28 = −0.85414 Z28 = 15.50000 X29 = 0.77218 Y29 = −0.96171 Z29 = 15.50000 X30 = 0.81776 Y30 = −1.06910 Z30 = 15.50000 X31 = 0.81776 Y31 = −1.06910 Z31 = 15.50000 X32 = 0.81810 Y32 = −1.07795 Z32 = 15.50000 X33 = 0.81259 Y33 = −1.08485 Z33 = 15.50000 X34 = 0.80386 Y34 = −1.08611 Z34 = 15.50000 X35 = 0.79645 Y35 = −1.08124 Z35 = 15.50000 X36 = 0.79645 Y36 = −1.08124 Z36 = 15.50000 X37 = 0.73851 Y37 = −0.99823 Z37 = 15.50000 X38 = 0.68112 Y38 = −0.91484 Z38 = 15.50000 X39 = 0.62367 Y39 = −0.83149 Z39 = 15.50000 X40 = 0.56573 Y40 = −0.74848 Z40 = 15.50000 X41 = 0.50693 Y41 = −0.66608 Z41 = 15.50000 X42 = 0.44695 Y42 = −0.58453 Z42 = 15.50000 X43 = 0.38549 Y43 = −0.50409 Z43 = 15.50000 X44 = 0.32212 Y44 = −0.42515 Z44 = 15.50000 X45 = 0.25649 Y45 = −0.34808 Z45 = 15.50000 X46 = 0.18778 Y46 = −0.27375 Z46 = 15.50000 X47 = 0.11565 Y47 = −0.20273 Z47 = 15.50000 X48 = 0.03985 Y48 = −0.13565 Z48 = 15.50000 X49 = −0.03983 Y49 = −0.07323 Z49 = 15.50000 X50 = −0.12347 Y50 = −0.01624 Z50 = 15.50000 X51 = −0.21100 Y51 = 0.03456 Z51 = 15.50000 X52 = −0.30214 Y52 = 0.07856 Z52 = 15.50000 X53 = −0.39638 Y53 = 0.11547 Z53 = 15.50000 X54 = −0.49310 Y54 = 0.14526 Z54 = 15.50000 X55 = −0.59177 Y55 = 0.16779 Z55 = 15.50000 X56 = −0.69180 Y56 = 0.18324 Z56 = 15.50000 X57 = −0.79264 Y57 = 0.19200 Z57 = 15.50000 X58 = −0.89383 Y58 = 0.19399 Z58 = 15.50000 X59 = −0.99492 Y59 = 0.18903 Z59 = 15.50000 X60 = −1.09598 Y60 = 0.18448 Z60 = 15.50000 N. Section height 16.00 X1 = −1.11953 Y1 = 0.19498 Z1 = 16.00000 X2 = −1.12970 Y2 = 0.19850 Z2 = 16.00000 X3 = −1.13780 Y3 = 0.20558 Z3 = 16.00000 X4 = −1.14274 Y4 = 0.21515 Z4 = 16.00000 X5 = −1.14373 Y5 = 0.22586 Z5 = 16.00000 X6 = −1.14373 Y6 = 0.22586 Z6 = 16.00000 X7 = −1.08131 Y7 = 0.32085 Z7 = 16.00000 X8 = −0.97556 Y8 = 0.37455 Z8 = 16.00000 X9 = −0.86213 Y9 = 0.40958 Z9 = 16.00000 X10 = −0.74459 Y10 = 0.42635 Z10 = 16.00000 X11 = −0.62583 Y11 = 0.42729 Z11 = 16.00000 X12 = −0.50786 Y12 = 0.41359 Z12 = 16.00000 X13 = −0.39234 Y13 = 0.38597 Z13 = 16.00000 X14 = −0.28053 Y14 = 0.34586 Z14 = 16.00000 X15 = −0.17333 Y15 = 0.29468 Z15 = 16.00000 X16 = −0.07132 Y16 = 0.23379 Z16 = 16.00000 X17 = 0.02507 Y17 = 0.16433 Z17 = 16.00000 X18 = 0.11577 Y18 = 0.08758 Z18 = 16.00000 X19 = 0.20102 Y19 = 0.00483 Z19 = 16.00000 X20 = 0.28082 Y20 = −0.08321 Z20 = 16.00000 X21 = 0.35492 Y21 = −0.17610 Z21 = 16.00000 X22 = 0.42309 Y22 = −0.27341 Z22 = 16.00000 X23 = 0.48566 Y23 = −0.37444 Z23 = 16.00000 X24 = 0.54332 Y24 = −0.47835 Z24 = 16.00000 X25 = 0.59656 Y25 = −0.58458 Z25 = 16.00000 X26 = 0.64575 Y26 = −0.69276 Z26 = 16.00000 X27 = 0.69135 Y27 = −0.80249 Z27 = 16.00000 X28 = 0.73478 Y28 = −0.91311 Z28 = 16.00000 X29 = 0.77799 Y29 = −1.02382 Z29 = 16.00000 X30 = 0.82311 Y30 = −1.13375 Z30 = 16.00000 X31 = 0.82311 Y31 = −1.13375 Z31 = 16.00000 X32 = 0.82345 Y32 = −1.14258 Z32 = 16.00000 X33 = 0.81805 Y33 = −1.14950 Z33 = 16.00000 X34 = 0.80937 Y34 = −1.15073 Z34 = 16.00000 X35 = 0.80195 Y35 = −1.14594 Z35 = 16.00000 X36 = −1.11953 Y36 = 0.19498 Z36 = 16.00000 X37 = −1.01569 Y37 = 0.18800 Z37 = 16.00000 X38 = −0.91148 Y38 = 0.18903 Z38 = 16.00000 X39 = −0.80741 Y39 = 0.18360 Z39 = 16.00000 X40 = −0.70384 Y40 = 0.17202 Z40 = 16.00000 X41 = −0.60112 Y41 = 0.15447 Z41 = 16.00000 X42 = −0.49950 Y42 = 0.13135 Z42 = 16.00000 X43 = −0.39939 Y43 = 0.10243 Z43 = 16.00000 X44 = −0.30144 Y44 = 0.06685 Z44 = 16.00000 X45 = −0.20657 Y45 = 0.02377 Z45 = 16.00000 X46 = −0.11553 Y46 = −0.02692 Z46 = 16.00000 X47 = −0.02900 Y47 = −0.08497 Z47 = 16.00000 X48 = 0.05277 Y48 = −0.14956 Z48 = 16.00000 X49 = 0.12981 Y49 = −0.21974 Z49 = 16.00000 X50 = 0.20228 Y50 = −0.29462 Z50 = 16.00000 X51 = 0.27044 Y51 = −0.37346 Z51 = 16.00000 X52 = 0.33465 Y52 = −0.45555 Z52 = 16.00000 X53 = 0.39637 Y53 = −0.53954 Z53 = 16.00000 X54 = 0.45609 Y54 = −0.62496 Z54 = 16.00000 X55 = 0.51441 Y55 = −0.71134 Z55 = 16.00000 X56 = 0.57183 Y56 = −0.79833 Z56 = 16.00000 X57 = 0.62876 Y57 = −0.88563 Z57 = 16.00000 X58 = 0.68562 Y58 = −0.97298 Z58 = 16.00000 X59 = 0.74293 Y59 = −1.06004 Z59 = 16.00000 X60 = 0.80195 Y60 = −1.14594 Z60 = 16.00000

While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment(s), but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims, which scope is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures as permitted under the law. Furthermore it should be understood that while the use of the word preferable, preferably, or preferred in the description above indicates that feature so described may be more desirable, it nonetheless may not be necessary and any embodiment lacking the same may be contemplated as within the scope of the invention, that scope being defined by the claims that follow. In reading the claims it is intended that when words such as “a,” “an,” “at least one” and “at least a portion” are used, there is no intention to limit the claim to only one item unless specifically stated to the contrary in the claim. Further, when the language “at least a portion” and/or “a portion” is used the item may include a portion and/or the entire item unless specifically stated to the contrary. 

1. An airfoil comprising: an external surface having first and second sides, the external surface extending spanwise between a hub and a tip and streamwise between a leading edge and a trailing edge; and the external surface having a contour substantially defined by Table 1 as listed in the specification.
 2. The airfoil of claim 1, further comprising: at least one coating formed on the external surface thereof.
 3. The airfoil of claim 2, wherein the external surface including the at least one coating substantially meets the contour dimensions defined by Table
 1. 4. The airfoil of claim 2, wherein an outer surface of the at least one coating extends outside of the contour dimensions as substantially defined by Table
 1. 5. The airfoil of claim 2, wherein the coating includes at least one of a thermal barrier coating and a radiation barrier coating.
 6. The airfoil of claim 1, wherein a portion of the external surface includes at least one discontinuity.
 7. The airfoil of claim 6, wherein the at least one discontinuity includes a through aperture formed in at least one of the sides of the airfoil to provide an outlet path for cooling fluid to flow therethrough.
 8. The airfoil of claim 1, wherein the airfoil is connected to a third stage turbine nozzle guide vane assembly.
 9. The airfoil of claim 1, wherein the positional tolerance of the external surface is held to range of about +/−0.025 inches for each dimension listed in Table
 1. 10. A turbine nozzle guide vane assembly for a gas turbine engine comprising: an inner shroud having an upper surface and a lower surface, the upper surface of the inner shroud partially defining an inner flow path wall; an airfoil extending radially outward from the upper surface of the inner shroud relative to an axis of rotation of the gas turbine engine, the airfoil having first and second three-dimensional external surfaces extending between a hub and a tip in a spanwise direction and between a leading edge and a trailing edge in a streamwise direction and a Cartesian coordinate array having X, Y and Z axis coordinates listed in Table 1 of the specification defining the first and second external surfaces of the airfoil, wherein the Z axis generally extends radially outward from at least one of the upper surface of the inner shroud or a longitudinal axis of the engine, the X axis generally extends normal to the Z axis in the streamwise direction, and the Y axis generally extends normal to both the X axis and the Z axis in a lateral direction.
 11. The turbine nozzle guide vane assembly of claim 10, wherein the external surface of the airfoil is formed within a manufacturing tolerance of about +/−0.025 inches of each dimension listed in Table
 1. 12. The turbine nozzle guide vane assembly of claim 10, wherein the Z axis further defines a stacking axis extending at a predefined angle from the inner shroud.
 13. The turbine nozzle guide vane assembly of claim 12, wherein the angle of the stacking axis is located between a normal position and 25° from the normal position in any direction.
 14. The turbine nozzle guide vane assembly of claim 10, further comprising: at least one coating formed on the external surface of the airfoil.
 15. The turbine nozzle guide vane assembly of claim 14, wherein the at least one coating is applied to the airfoil such that an outer surface of the coating is located within a tolerance of +/−0.050 inches of the coordinate dimensions defined in Table
 1. 16. The turbine nozzle guide vane assembly of claim 14, wherein the coating is at least one of a thermal barrier coating and a radiation barrier coating.
 17. The turbine nozzle guide vane assembly of claim 10, wherein a portion of the external surface of the airfoil includes at least one discontinuity.
 18. The turbine nozzle guide vane assembly of claim 17, wherein the at least one discontinuity includes a through aperture formed in at least one of the sides of the airfoil to provide an outlet path for cooling fluid to flow therethrough.
 19. The turbine nozzle guide vane assembly of claim 10, wherein the airfoil includes an outer shroud formed adjacent the tip.
 20. A method of forming an airfoil for a turbine nozzle guide vane comprising: forming a contoured three-dimensional external surface of an airfoil defined by Cartesian (X, Y and Z) coordinates listed in the specification as Table 1, wherein the Z axis coordinates are generally measured from an inner shroud or an engine centerline axis, the X axis coordinates are generally measured normal to the Z axis in a streamwise direction, and the Y axis coordinates are generally measured normal to the Z axis and normal to the X axis.
 21. The method of claim 20, further comprising: forming the airfoil from a casting process, wherein the casting process includes one of integrally casting the turbine nozzle guide vane in one piece and casting multiple pieces and subsequently bonding the cast pieces together.
 22. The method of claim 20, further comprising: forming the airfoil from a wrought material; and machine processing a portion of the airfoil to meet a design specification. 